Weighted Sobolev inequalities of mixed norm

Seng-Kee Chua

doi:rae/1339694084

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Home > Journals > Real Anal. Exchange > Volume 21 > Issue 2 > Article

1995/1996 Weighted Sobolev inequalities of mixed norm

Seng-Kee Chua

Author Affiliations +

Seng-Kee Chua¹
¹Department of Mathematics, National University of Singapore

Real Anal. Exchange 21(2): 555-571 (1995/1996).

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Abstract

We obtain weighted Sobolev inequalities of mixed norm on parallelepipeds and then generalize them to product of domains satisfying the chain condition.

Citation

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Seng-Kee Chua. "Weighted Sobolev inequalities of mixed norm." Real Anal. Exchange 21 (2) 555 - 571, 1995/1996.

Information

Published: 1995/1996

First available in Project Euclid: 14 June 2012

zbMATH: 0879.46009

MathSciNet: MR1407268

Subjects:

Primary: 26D10 , 46E35

Keywords: $A_p$ weights , domains satisfying the Boman chain condition , doubling and reverse doubling weights on product spaces , Lipschitz domains , Poincaré inequalities , Sobolev’s inequalities of mixed norm